Trapped Reeb orbits do not imply periodic ones
Symplectic Geometry
2017-08-02 v1 Dynamical Systems
Abstract
We construct a contact form on R^{2n+1}, n at least 2, equal to the standard contact form outside a compact set and defining the standard contact structure on all of R^{2n+1}, which has trapped Reeb orbits, including a torus invariant under the Reeb flow, but no closed Reeb orbits. This answers a question posed by Helmut Hofer.
Cite
@article{arxiv.1309.4982,
title = {Trapped Reeb orbits do not imply periodic ones},
author = {Hansjörg Geiges and Nena Röttgen and Kai Zehmisch},
journal= {arXiv preprint arXiv:1309.4982},
year = {2017}
}
Comments
6 pages